In this paper, we extend the concept of mutual exclusivity proposed by Dhaene and Denuit (1999) to its tail counterpart and baptise this new dependency structure as tail mutual exclusivity. Probability levels are first specified for each component of the random vector. Under this dependency...

Utility theory and insurance -- The individual risk model -- Collective risk models -- Ruin theory -- Premium principles -- Bonus-malus systems -- Credibility theory -- Generalized linear models -- IBNR techniques -- Ordering of risks.